It really sucks that your professor is teaching this crap, and that she seems incapable of facing her errors in a productive manner. She is clearly not a person deserving of your respect or admiration. Shitty prof, hands down.

That said, professors are always imperfect, just like the rest of us (some more than others, obviously). When faced with that, don't be the last angry man -- you're just shooting yourself in the foot. If you're feeling generous, share this with your classmates (discreetly), and maybe pan her in evaluations, but I'd leave it at that.

Pro tip for next time: Find a way to submit these concerns anonymously. If your institution is anything like mine, you'll have some sort of structure set up for this (we have little anomyozied "feedback cards" we can submit). Academic institutions are very political places -- relationships matter as much as, if not more than merit, and people can be just as sensitive about being proven wrong as anywhere else. I think if this story was brought to administrations attention, it would raise concerns (especially if you have the evidence of her errors and subsequent obstenice to back it up). But if it comes from a pissed of medical student banging down doors administration is just as likely to close ranks as they are to address the underlying concerns. I think the message actually can have much greater impact if it is depersonalized -- just the facts, presently clearly, concisely, and without emotion or judgement.

The most effective criticism is constructive, not argumentative. You have gone far towards the latter, and it is not surprising at all that you have been shut down. Catch more flies with honey than vinegar, ya know?

With that in mind, I'd examine why you feel so strongly about forcing a public correction of this error -- my sense is she is not the only one with an ego here. However you may intellectualize your drive to correct her, I think there are some problematic personality attributes at play here. Seems like a good opportunity for a little self-improvement. Even without seeing your emails, it's pretty clear from the outcome that you could definitely learn how to play with others a little better. Your nurses are definitely gonna hate you if you don't get this in check...